Question : The distance between the centres of two circles having radii of 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is:
Option 1: 15 cm
Option 2: 16 cm
Option 3: 18 cm
Option 4: 12 cm
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 12 cm
Solution : Given: AB = 13 cm AP = 8 cm BQ = 3 cm Direct common tangent (PQ) = $\sqrt{d^2-(r_1-r_2)^2}$ = $\sqrt{13^2-(8-3)^2}$ = $\sqrt{13^2-5^2}$ = $\sqrt{169-25}$ = $\sqrt{144}$ = 12 cm Hence, the correct answer is 12 cm.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:
Question : If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
Question : The distance between the centres of two circles having radii 22 cm and 18 cm, is 32 cm. The length (in cm) of the direct common tangent of the two circles is:
Question : The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Question : The distance between the centres of two circles of radii 2 cm and 6 cm is 5 cm. Find the length of the direct common tangent.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile